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Finding the Third Proportional to 293,681 and 423,991

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Solution

The third proportional to 293,681 and 423,991 is: 612,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,681 : 423,991 = 423,991 : x
  2. Step 2: Convert to fraction form
    293,681/423,991 = 423,991/x
  3. Step 3: Cross multiply
    293,681x = 423,991 × 423,991
  4. Step 4: Simplify right side
    293,681x = 179,768,368,081
  5. Step 5: Solve for x
    x = 179,768,368,081/293,681
  6. Step 6: Final answer
    x = 612,121.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.